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Finding the Third Proportional to 1,103,312,415 and 2,400,333,558

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Solution

The third proportional to 1,103,312,415 and 2,400,333,558 is: 5,222,094,042.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,103,312,415 : 2,400,333,558 = 2,400,333,558 : x
  2. Step 2: Convert to fraction form
    1,103,312,415/2,400,333,558 = 2,400,333,558/x
  3. Step 3: Cross multiply
    1,103,312,415x = 2,400,333,558 × 2,400,333,558
  4. Step 4: Simplify right side
    1,103,312,415x = 5,761,601,189,660,939,264
  5. Step 5: Solve for x
    x = 5,761,601,189,660,939,264/1,103,312,415
  6. Step 6: Final answer
    x = 5,222,094,042.75

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.